Answer:
speed is 81.03 mph
direction is N 3.58 W
Explanation:
given data
travel north = 70 mph
Stream current = 12 mph
direction = S 25° E
result due north = 70 mph
to find out
speed and direction
solution
we will get component of resultant that is
v cosθ and v sinθ
so
( 12cos295 , 12 sin295 ) at ( 0, 70)
as that we can say
v sinθ + 12sin295 = 70 ....................1
v cosθ + 12 cos295 = 0 ......................2
so
vcosθ = -5.0714
vsinθ = 80.8756
now by ratio
cosθ /sinθ = -5.0714/ 80.8756
cot θ = -0.0627
θ = 93.58
so direction is N 3.58 W
and
we know
vcosθ = - 12cos295
v = - 12cos295 / cos(93.58)
v = 81.03 mph
so speed is 81.03 mph
Answer:
An element is a pure substance that cannot be separated into simpler substances by chemical or physical means. There are about 117 elements.
Explanation:
Answer:
different number of mass numbers.
Explanation:
isotopes are atoms of the same element having the same atomic number but different mass numbers due to different number of neutrons.
Answer:
233.1 miles per hours
Explanation:
Speed: This is defined as the ratio of distance to time. The S.I unit of speed is m/s. speed is a vector quantity because it can only be represented by magnitude only. Mathematically, speed can be expressed as,
S = d/t ....................... Equation 1
Where S = speed of the runner, d = distance covered, t = time.
Given: d = 100 meter , t = 9.580 seconds
Conversion:
If, 1 meter = 0.00062 miles
Then, 100 meters = (0.00062×100) miles = 0.62 miles.
Also
If, 3600 s = 1 h
Then, 9.580 s = (1×9.580)/3600 = 0.00266 hours.
Substitute into equation 1
S = 0.62/0.00266
S = 233.1 miles per hours.
Hence the runner speed is 233.1 miles per hours
Answer:
the faster you move the greater, the drag force acting against the object.
Explanation:
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